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Finding the Fourth Proportional to 1,366.91, 1,886.24 and 777.43

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Solution

The fourth proportional to 1,366.91, 1,886.24 and 777.43 is: 1,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.91 : 1,886.24 = 777.43 : x
  2. Step 2: Convert to fraction form
    1,366.91/1,886.24 = 777.43/x
  3. Step 3: Cross multiply
    1,366.91x = 1,886.24 × 777.43
  4. Step 4: Simplify right side
    1,366.91x = 1,466,419.56
  5. Step 5: Solve for x
    x = 1,466,419.56/1,366.91
  6. Step 6: Final answer
    x = 1,072.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.